Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 53 · 40 questions

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

1. 1.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
2. 2.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
3. 3.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
4. 4.How many degrees does the hour hand of a clock turn in 15 minutes? =
5. 5.How many degrees does the minute hand of a clock turn in 41 minutes? =
6. 6.How many degrees does the minute hand of a clock turn in 2 minutes? =
7. 7.How many degrees does the minute hand of a clock turn in 58 minutes? =
8. 8.A clock shows 1:31. What time will it show 43 minutes later? (a) 2:14 (b) 3:14 (c) 2:04 (d) 2:24
9. 9.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
10. 10.How many degrees does the hour hand of a clock turn in 32 minutes? =
11. 11.A clock shows 3:26. What time will it show 169 minutes later? (a) 6:15 (b) 6:25 (c) 6:05 (d) 7:15
12. 12.A clock shows 1:11. What time will it show 53 minutes later? (a) 1:54 (b) 3:04 (c) 2:04 (d) 2:14
13. 13.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
14. 14.A clock shows 6:52. What time will it show 150 minutes later? (a) 10:22 (b) 9:32 (c) 9:12 (d) 9:22
15. 15.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
16. 16.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
17. 17.How many degrees does the hour hand of a clock turn in 12 minutes? =
18. 18.How many degrees does the minute hand of a clock turn in 36 minutes? =
19. 19.How many degrees does the minute hand of a clock turn in 46 minutes? =
20. 20.A clock shows 8:31. What time will it show 157 minutes later? (a) 10:58 (b) 11:08 (c) 12:08 (d) 11:18
21. 21.A clock shows 4:55. What time will it show 27 minutes later? (a) 5:32 (b) 6:22 (c) 5:12 (d) 5:22
22. 22.A clock shows 1:27. What time will it show 131 minutes later? (a) 3:38 (b) 4:38 (c) 3:48 (d) 3:28
23. 23.How many degrees does the minute hand of a clock turn in 56 minutes? =
24. 24.How many degrees does the hour hand of a clock turn in 75 minutes? =
25. 25.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
26. 26.How many degrees does the minute hand of a clock turn in 25 minutes? =
27. 27.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
28. 28.How many degrees does the hour hand of a clock turn in 22 minutes? =
29. 29.How many degrees does the minute hand of a clock turn in 12 minutes? =
30. 30.A clock shows 7:58. What time will it show 166 minutes later? (a) 10:34 (b) 10:54 (c) 11:44 (d) 10:44
31. 31.How many degrees does the hour hand of a clock turn in 28 minutes? =
32. 32.How many degrees does the hour hand of a clock turn in 141 minutes? =
33. 33.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
34. 34.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
35. 35.How many degrees does the hour hand of a clock turn in 120 minutes? =
36. 36.How many degrees does the minute hand of a clock turn in 20 minutes? =
37. 37.A clock shows 11:17. What time will it show 69 minutes later? (a) 12:36 (b) 12:26 (c) 12:16 (d) 1:26
38. 38.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
39. 39.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
40. 40.A clock shows 12:28. What time will it show 97 minutes later? (a) 2:15 (b) 2:05 (c) 3:05 (d) 1:55

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